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Finding the Fourth Proportional to 203,366, 305,074.51 and 61,189.13

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Solution

The fourth proportional to 203,366, 305,074.51 and 61,189.13 is: 91,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,366 : 305,074.51 = 61,189.13 : x
  2. Step 2: Convert to fraction form
    203,366/305,074.51 = 61,189.13/x
  3. Step 3: Cross multiply
    203,366x = 305,074.51 × 61,189.13
  4. Step 4: Simplify right side
    203,366x = 18,667,243,852.08
  5. Step 5: Solve for x
    x = 18,667,243,852.08/203,366
  6. Step 6: Final answer
    x = 91,791.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.